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Finding the Fourth Proportional to 420,414.50, 580,190.88 and 236,716.28

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Solution

The fourth proportional to 420,414.50, 580,190.88 and 236,716.28 is: 326,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,414.50 : 580,190.88 = 236,716.28 : x
  2. Step 2: Convert to fraction form
    420,414.50/580,190.88 = 236,716.28/x
  3. Step 3: Cross multiply
    420,414.50x = 580,190.88 × 236,716.28
  4. Step 4: Simplify right side
    420,414.50x = 137,340,626,803.53
  5. Step 5: Solve for x
    x = 137,340,626,803.53/420,414.50
  6. Step 6: Final answer
    x = 326,679.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.